As long as \(\dot{\phi } \ne 0\)  we can write \(\rho - p \equiv 2V(\phi )\) , defining the "inflationary potential". So every slow roll metric satisfying the null energy condition/second law is classically equivalent to a single scalar field inflation model. This shows that single field inflation models, are really models of pure gravity[1]}. The quantum fluctuations in CEP models (see the appendix) do not have the same form as those derived by treating quadratic fluctuations around the slow roll background as quantum fields. In particular, the scalar power spectrum is larger by a factor of \(\epsilon ^{-1}\) , and this prefactor is the only large violation of \(SO(1,4)\)  invariance when the inflationary Hubble radius is much larger than the Planck scale. The primordial tensor fluctuations have two components, an exactly flat spectrum suppressed by \(\epsilon ^2\)  , and gravitons produced in the decay of IBHs. The latter share the spatial distribution of scalar fluctuations, with a power spectrum smaller by a factor of \(g^{-1}\)  . \(g\)  is the effective number of particle states with mass below \((8\pi m)^{-1} \sim 10^{12}\)  GeV.
